I'm completely confused on how to solve this problem.

Convert 125 hp-hr/long ton to kW-s/kg.

To convert from hp-hr/long ton to kW-s/kg, you need to follow a step-by-step process. First, let's break down the units and understand what they represent:

- "hp-hr" represents horsepower-hour, which is a unit of energy. It measures the work done or energy expended over the course of one hour at a power output of one horsepower.
- "long ton" is a unit of mass and equals 2,240 pounds.

Now, let's proceed with the conversion:

Step 1: Convert horsepower-hour (hp-hr) to kilowatt-hours (kWh)
To convert from horsepower-hour to kilowatt-hours, you need to know the conversion factor:

1 hp-hr = 0.7457 kWh

So, multiply the given value by 0.7457 to get the equivalent in kWh.

125 hp-hr × 0.7457 kWh/hp-hr = 93.2125 kWh

Step 2: Convert kilowatt-hours (kWh) to kilowatt-seconds (kW-s)
To convert from kilowatt-hours to kilowatt-seconds, you need to know that:

1 kWh = 3,600,000 kW-s

So, multiply the value in kWh by 3,600,000 to convert it to kW-s.

93.2125 kWh × 3,600,000 kW-s/kWh = 335,563,500 kW-s

Step 3: Convert long tons to kilograms (kg)
To convert long tons to kilograms, you need to know the conversion factor:

1 long ton = 1016.0469088 kg

Multiply the value of the long ton (2,240 pounds) by the conversion factor to get the equivalent in kilograms.

2,240 pounds × 0.45359237 kg/pound = 1,016.0469088 kg

Step 4: Convert kilowatt-seconds (kW-s) to kilowatt-seconds per kilogram (kW-s/kg)
Finally, divide the value in kW-s by the mass in kilograms to obtain the result in kW-s/kg.

335,563,500 kW-s / 1,016.0469088 kg ≈ 330,634.48 kW-s/kg

Therefore, the conversion from 125 hp-hr/long ton to kW-s/kg is approximately 330,634.48 kW-s/kg.